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An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment of inertia is / = where m is the mass. The two radi are increasing at a rate of 3 centimeters per second. Find the rate at which / is changing at the instant the radii are 6 centimeters and 7 centimeters. (Assume mass is a constant.) cm/sec

An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment of inertia is / = where m is the mass. The two radi are increasing at a rate of 3 centimeters per second. Find the rate at which / is changing at the instant the radii are 6 centimeters and 7 centimeters. (Assume mass is a constant.) cm/sec

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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An annular cylinder has an inside radius ofr, and an outside radius of rz (see figure). Its moment of inertia is = where m is the mass. The two radi are increasing at a rate of 3 centimeters per second. Find the rate at which / is changing at the instant the radi are 6 centimeters and 7 centimeters. (Assume mass is a constant.) cm?/sec
Transcribed Image Text:An annular cylinder has an inside radius ofr, and an outside radius of rz (see figure). Its moment of inertia is = where m is the mass. The two radi are increasing at a rate of 3 centimeters per second. Find the rate at which / is changing at the instant the radi are 6 centimeters and 7 centimeters. (Assume mass is a constant.) cm?/sec
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